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Finding the Fourth Proportional to 6,178.58, 9,266.76 and 3,057.60

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Solution

The fourth proportional to 6,178.58, 9,266.76 and 3,057.60 is: 4,585.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.58 : 9,266.76 = 3,057.60 : x
  2. Step 2: Convert to fraction form
    6,178.58/9,266.76 = 3,057.60/x
  3. Step 3: Cross multiply
    6,178.58x = 9,266.76 × 3,057.60
  4. Step 4: Simplify right side
    6,178.58x = 28,334,045.38
  5. Step 5: Solve for x
    x = 28,334,045.38/6,178.58
  6. Step 6: Final answer
    x = 4,585.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.